(-2sqrt (2)-2sqrt (2))/(2sqrt (3)-(2sqrt (2))/(2))

Question

Answer 1

To simplify the given expression, let's first simplify the numerator and the denominator separately.The numerator is

. We can combine the like terms:

So, the numerator simplifies to

.Now, let's simplify the denominator. The denominator is

. We can simplify the second term in the denominator:

So, the denominator simplifies to

.Now, we can rewrite the expression as:

To simplify this expression further, we can multiply the numerator and the denominator by the conjugate of the denominator, which is

:

In the numerator, we have:

In the denominator, we have:

So, the expression simplifies to:

We can simplify this further by dividing both the numerator and the denominator by 2:

Therefore, the simplified form of the given expression is

.

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